Fixed points of ordered F-contractions
Yükleniyor...
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Hacettepe Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In his recent paper, Wardowski [16] introduced the concept of F-contraction, which is a proper generalization of ordinary contraction on a complete metric space. Then, some generalizations of F-contractions including multivalued case are obtained in [2, 4, 7, 13]. In this paper, by considering both F-contractions and fixed point result on ordered metric spaces, we introduce a new concept of ordered F-contraction on ordered metric space. Then, we give a fixed point theorem for such mapping. To support our result, we give an example showing that our main theorem is applicable, but both results of Ran and Reurings [12] and Wardowski [16] are not.
Açıklama
Altun, Ishak/0000-0002-7967-0554; MINAK, GULHAN/0000-0002-3711-9633
Anahtar Kelimeler
Fixed point, F-contraction, ordered F-contraction, complete metric space
Kaynak
Hacettepe Journal Of Mathematics And Statistics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
45
Sayı
1
Künye
Durmaz G., Mınak G., Altun I. (2016). Fixed points of ordered F-contractions. Hacettepe Journal of Mathematics and Statistics, 45(1), 15 - 21.
